A major challenge in eradicating HIV-1 infection is the persistence of virus in long-lived cells, such as latently infected memory CD4 T cells. One approach for eliminating the HIV-1 reservoir is to activate viral replication in these latently infected CD4 T cells by targeting cellular mechanisms that repress proviral transcription. Histone deacetylase inhibitors (HDACis), such as RMD, induce HIV-1 expression by increasing acetylation and facilitating transcriptional activation of HIV-1. RMD administered in combination with ART may serve as an important component of a strategy to eradicate the HIV-1 latent reservoir. The purpose of this study is to evaluate the safety and efficacy of single dose and multiple dose administration of RMD in HIV-infected adults.